18072800 has 144 divisors (see below), whose sum is σ = 49215600. Its totient is φ = 6451200.

The previous prime is 18072797. The next prime is 18072809. The reversal of 18072800 is 827081.

It is a self number, because there is not a number n which added to its sum of digits gives 18072800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18072809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440780 + ... + 440820.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^18072800 is an apocalyptic number.

18072800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607800).

18072800 is an abundant number, since it is smaller than the sum of its proper divisors (31142800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18072800 is a wasteful number, since it uses less digits than its factorization.

18072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 18072800 is about 4251.2115920053. The cubic root of 18072800 is about 262.4269789334.

Adding to 18072800 its reverse (827081), we get a palindrome (18899881).

The spelling of 18072800 in words is "eighteen million, seventy-two thousand, eight hundred".